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Finding the Fourth Proportional to 2,066.50, 2,850.29 and 1,459.86

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Solution

The fourth proportional to 2,066.50, 2,850.29 and 1,459.86 is: 2,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.50 : 2,850.29 = 1,459.86 : x
  2. Step 2: Convert to fraction form
    2,066.50/2,850.29 = 1,459.86/x
  3. Step 3: Cross multiply
    2,066.50x = 2,850.29 × 1,459.86
  4. Step 4: Simplify right side
    2,066.50x = 4,161,011.85
  5. Step 5: Solve for x
    x = 4,161,011.85/2,066.50
  6. Step 6: Final answer
    x = 2,013.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.